2 12 12,1°

Q: (8 + 5i) – (2 + 3i)

A: Given : (8+5i) - (2+3i) To simplify the given expression. Here we  will use-…

Q: (8 – 3i)(-7 – 6i)

A:

Q: 4. (a) (i) Calculate (4 + 6i)².

A:

Q: Divide. 6 +2 i 1+ i 6 + 2 i 1+ i (Simplify your answer. Type your answer in the form a+ bi.)

A: We have to solve above question

Q: В A C In AABC, AB = 2 and AC 11. Find mzC to the nearest degree.

A: Given : A right triangle ∆ABC where AB=2 and AC=11

Q: A = 32 - 2j Calculate : a) lÃt BI , b) Ā. B,C) 6) A.B, c) Ã+B

A: It can be solved using method of vector addition and vector dot product

Q: (5 – 6i) – (3 – 2i)

A: We have to perform the subtraction between two complex numbers.

Q: a.) (3 - 4i)(2 + 5i) 10/60 + 20/-45

A: Solution:

Q: 11 > 5i2 + 4 i=1

A:

Q: Evaluate (2i)3 a) 8 b) –8 с) -8i d) 8i

A: Let z=(2i)3

Q: (10 + 6i)( – 1 – 4i) =

A: Consider 10+6i-1-4i, Multiply the factors term-wise.…

Q: 7+8i 4+5i 6–3i 8-4i

A:

Q: (3+ 5i) – (2– i) = T+6i O6i i 27 4i

A: First option is correct

Q: (3 + 7i) (5 – 21)

A: i² =(-1) we use this fact to solve the given problem

Q: Solve for x (use law of cosines) 6. 10 130.5 degrees 80.4 degrees O 60.3 degrees O 117.1 degrees

A:

Q: Find the cosine of 2S. R 6. 10

A: Consider the given figure as

Q: Find the product. (3 + 4i)(4 − i)

A:

Q: 1. (a) Find the roots of the equation 23 + 2 – 2/3i = 0.

A: Here we have to find the roots of z3+2-23i=0. For that consider z3+2-23i=0⇒z3=-2+23i. Finding the…

Q: π/4 ²dx (x²+4)5/2 (Use trigonometric substitution)

A:

Q: Determine the product of (1 + i) and (1–31) A) 4- 2i B) 2 + 4i c) 2- 2i D) 2-4i

A:

Q: Find the magnitude of v. v = -4i + 5j + 8k ||v|| %3D II

A:

Q: Divide. 3+7i 1+ i

A: Given: 3+7i1+i We know that; a+ibc+id=ac-bd+ad+bci

Q: 2. Simplify the expression (3 - 4i)(1 + 5i) - (2 - i). Show your work. Answer:

A:

Q: Find the cosine of ZV. 28 45 53

A:

Q: 3¢i – 40i-1 + Pi-2 дх 2Ax

A: In this question, we use the Taylor series expansions to derive the three-point scheme for the first…

Q: (8+4i)(8+4i)=

A: Given,(8+4i)(8+4i)now,(8+4i)(8+4i) = 8(8+4i)+4i(8+4i)

Q: 20. Use the Law of Cosines to solve for x 21 26 16

A: In a triangle with side lengths a,b,c; according to cosine law: c2=a2+b2-2abcosα where α is the…

Q: (4– 2i) (2+5i)

A:

Q: a) (1 – 8i) – (2 – 7i) b) (1 – 2/)? c) 4 - 31 4 + 3i d) (2/)° – ¡16

A:

Q: Determine (1+4i)(5+i)

A: We need to multiply two complex numbers 1+4i5+i Now,  i=-1⇒i2=-1 We will use this in the calculation…

Q: Simplify a) (-5 + 7i) + (3 – 4i)             Find    b) 4i (2+3i)

A: Solution of part (a): (-5 + 7i) + (3 - 4i) = -5 + 7i + 3 - 4i = (-5 + 3) + (7i - 4i) = (-2) + (7 -…

Q: C. 2I0

A: To simplify the given number.

Q: 3+4i30 -2+i 2-i 5

A: To prove the equation 3+4i302-i=-2+i5 to prove it start from the left hand side and deduce the right…

Q: Evaluate (-i/2)ei(π/3)

A: Let given complex number is z=(-i/2)e^i(π/3)

Q: 13 12 B. Determine the cosine of B. 10 A. 13 В. C.- D. 13

A: According to the definition:   Cos(B) = (base side)/(hypotenuse side)    Cosine of B = 12/13

Q: 8i−(15−4i)

A: The standard form of a complex number is given as,

Q: 5) (2i – 4) – (6i + 8) -

A:

Q: Find: a = b = degrees %3D

A: Given that in a right angle triangle ∠A=70° and ∠C=90°c=13 Find a, b, B ⇒Sin A=ac     sin70=a13…

Q: 2. Find ZR. Round your answer to the degree 24 6.

A: Given,

Q: 4i/5+i

A: Given expression: 4i5+i rationalize the expression…

Q: 1. Simplify: 4 + 3i h) 5 – 2i 6 - 8i g) (3 – 2i)2 i

A: g) 3-2i2h) 4+3i5-2ii) 6-8ii

Q: Simplify: 4+ 3i h) 5 – 2i 6 – 8i g) (3 – 2i)2 i) i

A:

Q: a) (2+4i)*

A:

Q: Pu 20u ôu =0i 2

A:

Q: (5 + 7i) * (3 – 2i)

A:

Q: an(1°) tan(2°)tan(3º)*

A:

Q: 10)–i (2i² – 5i)

A:

Q: 3i · (15 + 2i) =

A: We need to find 3i * (15+2i). So,                       3i15+2iApply complex arithmetic rule:…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.